268290 has 48 divisors (see below), whose sum is σ = 763776. Its totient is φ = 64800.

The previous prime is 268283. The next prime is 268291. The reversal of 268290 is 92862.

It is not an unprimeable number, because it can be changed into a prime (268291) by changing a digit.

268290 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855 + ... + 1125.

It is an arithmetic number, because the mean of its divisors is an integer number (15912).

2²⁶⁸²⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381888).

268290 is an abundant number, since it is smaller than the sum of its proper divisors (495486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268290 is a wasteful number, since it uses less digits than its factorization.

268290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 268290 is about 517.9671804275. The cubic root of 268290 is about 64.4963040969.

It can be divided in two parts, 2682 and 90, that added together give a palindrome (2772).

The spelling of 268290 in words is "two hundred sixty-eight thousand, two hundred ninety".